GCF of 453/414, 676/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/414, 676/914 i.e 1/189198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/414, 676/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 453/414,676/914?
Given fractions are 453/414,676/914
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 453/414,676/914, numerators are 453,676
Denominators are 414,914
The GCF of 453,676 is 1 .
LCM of 414,914 is 189198.
The greatest common factor of 453/414,676/914 = [GCF of 453,676]/[LCM of 414,914]= 1/189198
Therefore, the GCF of 453/414,676/914 is 1/189198.
To find the highest common factor of 453,676, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 453,676 is 1.
Lets's calculate GCF of 453,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 453,676 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 453,676 . The biggest common factor number is the GCF number.
So the greatest common factor 453,676 is 1.
Lets's calculate LCM of 414,914
| 2 | 414, 914 |
| 207, 457 |
∴ So the LCM of the given numbers is 2 x 207 x 457 = 189198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189198
Therefore, the GCF of Fractions 453/414,676/914 is 1/189198
Least Common Multiple of 414,914 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 414,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,914) x common factors =2 x 1 = 2
LCM(414,914) = ( 414 × 914 ) / 2
LCM(414,914) = 378396 / 2
LCM(414,914) = 189198
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FAQs on GCF of Fractions of 453/414, 676/914
1. What is the HCF of 453,676?
The HCF of 453,676 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 453/414, 676/914?
Answer: GCF of Numerators as per given numbers 453/414, 676/914 is
GCF of Numerators i.e. for 453,676 is 1
LCM of denominators i.e. for 414,914 is 189198.
Thus, GCF of Fractions is 1/189198.Finally, GCF of Fractions for 453/414, 676/914 is 1/189198.